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Which is bigger, \(10^{100} + 20^{100}\) or \(15^{100} + 15^{100}\)?

 Jun 30, 2020
 #1
avatar+2315 
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The first one, the 20 affects the answer a lot!

 Jun 30, 2020
 #2
avatar+1130 
+1

so it becomes 10^100+20^100=30000... with 100 0's and on the other side it becomes 2*15^100 which is less than the first one so 10^100+20^100 is bigger

 Jun 30, 2020

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